Basic Math Examples

- \frac{7}{9} - \frac{5}{6}

$- \frac{7}{9} - \frac{5}{6}$

Step 1

To write

- \frac{7}{9}

$- \frac{7}{9}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{7}{9} \cdot \frac{2}{2} - \frac{5}{6}

$- \frac{7}{9} \cdot \frac{2}{2} - \frac{5}{6}$

Step 2

To write

- \frac{5}{6}

$- \frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{7}{9} \cdot \frac{2}{2} - \frac{5}{6} \cdot \frac{3}{3}

$- \frac{7}{9} \cdot \frac{2}{2} - \frac{5}{6} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

18

$18$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{7}{9}

$\frac{7}{9}$ by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{7 \cdot 2}{9 \cdot 2} - \frac{5}{6} \cdot \frac{3}{3}

$- \frac{7 \cdot 2}{9 \cdot 2} - \frac{5}{6} \cdot \frac{3}{3}$

Step 3.2

Multiply

9

$9$ by

2

$2$ .

- \frac{7 \cdot 2}{18} - \frac{5}{6} \cdot \frac{3}{3}

$- \frac{7 \cdot 2}{18} - \frac{5}{6} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{6 \cdot 3}

$- \frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{6 \cdot 3}$

Step 3.4

Multiply

6

$6$ by

3

$3$ .

- \frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{18}

$- \frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{18}$

- \frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{18}

$- \frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{18}$

Step 4

Combine the numerators over the common denominator.

\frac{- 7 \cdot 2 - 5 \cdot 3}{18}

$\frac{- 7 \cdot 2 - 5 \cdot 3}{18}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 7

$- 7$ by

2

$2$ .

\frac{- 14 - 5 \cdot 3}{18}

$\frac{- 14 - 5 \cdot 3}{18}$

Step 5.2

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{- 14 - 15}{18}

$\frac{- 14 - 15}{18}$

Step 5.3

Subtract

15

$15$ from

- 14

$- 14$ .

\frac{- 29}{18}

$\frac{- 29}{18}$

\frac{- 29}{18}

$\frac{- 29}{18}$

Step 6

Move the negative in front of the fraction.

- \frac{29}{18}

$- \frac{29}{18}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{29}{18}

$- \frac{29}{18}$

Decimal Form:

- 1.6 ¯ 1

$- 1.6\overline{1}$

Mixed Number Form:

- 1 \frac{11}{18}

$- 1 \frac{11}{18}$